Upper Estimate of Concentration and Thin Dimensions of Measures

H. Gacki, A. Lasota, and J. Myjak. "Upper Estimate of Concentration and Thin Dimensions of Measures." Bulletin of the Polish Academy of Sciences. Mathematics 57.2 (2009): 149-162. <http://eudml.org/doc/281277>.

@article{H2009,
abstract = {We show upper estimates of the concentration and thin dimensions of measures invariant with respect to families of transformations. These estimates are proved under the assumption that the transformations have a squeezing property which is more general than the Lipschitz condition. These results are in the spirit of a paper by A. Lasota and J. Traple [Chaos Solitons Fractals 28 (2006)] and generalize the classical Moran formula.},
author = {H. Gacki, A. Lasota, J. Myjak},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
language = {eng},
number = {2},
pages = {149-162},
title = {Upper Estimate of Concentration and Thin Dimensions of Measures},
url = {http://eudml.org/doc/281277},
volume = {57},
year = {2009},
}

TY - JOUR
AU - H. Gacki
AU - A. Lasota
AU - J. Myjak
TI - Upper Estimate of Concentration and Thin Dimensions of Measures
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2009
VL - 57
IS - 2
SP - 149
EP - 162
AB - We show upper estimates of the concentration and thin dimensions of measures invariant with respect to families of transformations. These estimates are proved under the assumption that the transformations have a squeezing property which is more general than the Lipschitz condition. These results are in the spirit of a paper by A. Lasota and J. Traple [Chaos Solitons Fractals 28 (2006)] and generalize the classical Moran formula.
LA - eng
UR - http://eudml.org/doc/281277
ER -